Answer:
79507
Step-by-step explanation:
because 64000(1+15/200)^3= 79507
One number is twice another number. The sum of their reciprocals is 6. What are the numbers?
Answer:
8 and 2
Step-by-step explanation:
Answer:
1/4 and 1/2
Step-by-step explanation:
One number is twice another number.
x and 2x
The sum of their reciprocals is 6
[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] = 6
Use common denominator of 2x
[tex]\frac{2}{2x}[/tex] + [tex]\frac{1}{2x}[/tex] = 6
[tex]\frac{3}{2x}[/tex] = 6
multiply botn sides by 2x
3 = 12x
Divide both sides by 12
1/4 = x
x = 1/4
2x = 1/2
The numbers are
1/4 and 1/2
How does the graph of g(x) = [tex](x+12)^{2}[/tex] relate to the graph of f(x) = [tex]x^{2}[/tex]
Answer:
Horizontal translation of the parent graph
Step-by-step explanation:
Definitions:In the vertex form of a quadratic function, f(x) = a(x - h)² + k, where:
(h, k) = vertex of the grapha = determines the width and direction of the graph's opening.A horizonal translation to the parent graph is given by, y = f(x - h), where:
h > 0 ⇒ Horizontal translation of h units to the righth < 0 ⇒ Horizontal translation of |h | units to the leftIn the graph of g(x) = (x + 12)², the vertex occurs at point (-12, 0).
While the vertex of the parent graph, f(x) = x² occurs at point, (0, 0).
Answers:Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (h, k ) into the vertex form will result into:
g(x) = a(x - h)² + k
g(x) = [x - (-12)]² + 0
g(x) = (x + 12)² + 0
g(x) = (x + 12)²
Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is horizontally translated 12 units to the left.
what is the LCM of 900 and 30000
Answer: 90,000
To find the LCM (Least Common Multiple) of a number, list the multiples of each number.
Multiples of 900
Since they're a lot, we will extend it to the short version.
900, 2700, 9900, 37800, 85500, 90000
Multiples of 30000
30000, 60000, 90000, 120000, 150000
Looking at both multiples, the least common multiple is 90000, as it is listed in both 900 and 30000.
Hence, 90,000 is the answer.
Given isosceles AHIJ where HIIT, MZH = (3x + 10)", and mZ1 = (6x – 20)", find the measures of angles H, I and J.
Answer:
110 degrees I think
Step-by-step explanation:
evaluate the function h(x) = |-2x|-9 for the given values of x a) h(4)=. b) h(-5)=. c) h(0) =
Answer:
h(4) = -1 ; h(-5) = 1 h(0) = -9
Step-by-step explanation:
a) h(x) = |-2x| - 9 Substitute x = 4
h(4) = | -2 · 4| - 9
h(x) = | -8| - 9
h(4) = 8 - 9
h(4) = -1
b) h(x) = |-2x| - 9 Substitute x = -5
h(-5) = |-2 · -5| - 9
h(-5) = |-10| - 9
h(-5) = 10 - 9
h(-5) = 1
c) h(x) = |-2x| - 9 Substitute x = 0
h(0) = |-2 · 0| - 9
h(0) = |0| - 9
h(0) = 0 - 9
h(0) = -9
Team math Minds have a score of - 200 They answered five 30-point questions correctly. What is their new score?
what is the slope of the line?
Answer:
The slope is 3 or 3/1
Step-by-step explanation:
Which function could be used to represent the sequence 8, 20, 50,
125, 312.5...., given that a, = 8?
(1) a, = 4,- 1 ta
(3) 4, = 4, + 1.5(, -1)
(2) a. = 2.5(
4-1) (4) 4 = (a), -1)
Answer: a = 2.5 (an-1)
Step-by-step explanation: trust me;)
The function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].
What is geometric progression?sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is as a geometric sequence of numbers.
Formula for nth term of geometric progression[tex]a_{n} =ar^{n-1}[/tex]
Where,
[tex]a_{n}[/tex] is the nth term of the sequence or geometric progression
n is the total number of terms
r is the common ratio
and a is the first term
According to the given question
We have
A geometric progression
8, 20, 50, 125, 312.5
Now the common ratio for the above progression is given by
[tex]r = \frac{20}{8} = 2.5[/tex]
And the first term is
a = 8
Therefore, the function which is used to represent the above sequence is given by
[tex]a_{n} = 8(2.5)^{n-1}[/tex]
Hence, the function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].
Learn more about geometric progression here:
https://brainly.com/question/4853032
#SPJ2
Simplify. 54+4(3/4−1/2)2
Answer:
56
Step-by-step explanation:
54 + 4(3/4 − 1/2)2
=> 54 + 4(1/4)2
=> 54 + (1)2
=> 54 + 2
=> 56
Therefore, 56 is our answer.
Hoped this helped.
g(t) = (t-10) (t+1)
1) What are the zeros of the function?
Step-by-step explanation:
Write properties of function:
x intercept/zero: ; T1= -1 and T2=10
vertex form: g(t)= (t-9/2)^2, (-121/4)
vertex: 9/2, 121/4
Explanation Write properties of function: Write properties of function:
x intercept/zero: ; t1=-1, and t2=10
vertex form: (t-9/2)^2, (-121/4)
vertex: 9/2, 121/4
hope this helped
y = x - 15 when x is 2.65
Answer:
y = -12.35
Step-by-step explanation:
Plug in 2.65 for x giving you y = 2.65 - 15
Teddy
1House A is twice as tall as House B. How tall is House B?
House
Height (ft)
A
24
B
Answer:
12
Step-by-step explanation:
House A is 24. So divide it by two to get 12. Which is house B
What is the value of y when the value of x is 1?
if the value of x is 1 then the y value is 6
Which number has a prime factorization of 2x2x5x5x7x7
Answer:
4900
Step-by-step explanation:
multiply all those numbers together
2x2x5x5x7x7 = 4900
Rewrite x2 - 8x + 13 = 0 in the form (x -a)2= b, where a and b are integers, to determine the a and b values.
O a = 4 and b = 3
O a = 3 and b = 2
O a= 2 and b = 1
O a = 1 and b = 4
Answer:
a =4 and b= 3
Step-by-step explanation:
Stare at it for a bit. You have the squre of x, then(ignoring the minus sign) 2 times x times 4. What's left is the square of 4, which is 16; you have 13, you are 3 short. Let's add them to both sides:
[tex]x^2-8x+13+3=3 \rightarrow x^2-8x+16 = 3\\(x-4)^2 = 3[/tex]
so a =4 and b= 3
Calculate the volume of a cylinder with height 14cm and diameter 10cm. Give your answer rounded to 3 SF.
Un significant figured Volume=1099.56
3 sf = 1100.00
PLS HELP FAST FIRST ANSWER GETS BRAINLYEST 35 POINTSSSSS
Elena borrowed some
money from her brother. She
pays him back by giving him
the same amount every
week. The graph shows how
much she owes after each
week.
The slope is -3
1- how much time will it take for elena to pay back all the money she borrowed
Answer:
no graph how am i supposed to answer
Step-by-step explanation:
DUDE PUT THE GRAPH WHERE IS iT
2. Order the numbers from least to greatest -0.5, -.025, 0.05,-2,5
Answer:
-2, -0.5, -.025, 0.05, 5
Hi again could you help me please
Find the area of the composite shape.
Answer:
For the one on the far left its 104 m2
Step-by-step explanation:
u split the shape in a square and rectangle
them u fin the area of the square by multiplying both sides. (8*8)
then u find the area of the rectangle by using the formula
2*(16+4)
when u find both areas u count them up and it'll become 104 m squared
A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
hours, and distribution approximated by a normal curve. Calculate the percentage of bulbs and total
number of light bulbs that can be expected to last the period of time indicated. Round to the nearest
hundredth for percent, if possible.
Draw the normal curve
What range of hours constitutes 96% of light bulb hours of life?
Between 300 and 700 hours
Less than 600 hours
Answer:
C. 97.1 should be your answer
Step-by-step explanation:
100 if u get this right ty have a nice day!
Answer:
9
Step-by-step explanation:
2+4 over 2
x 3
= 9
A drilling crew dug to a height of -45 1/4 feet during their first day of drilling. On the second day, the crew dug down 9 1/3 feet more than on the first day. Describe the height of the bottom of the hole after the second day.
The height of the bottom of the hole after the second day is -35 11/12 feet
Given:
Day 1 height = -45 1/4 feet
Day 2 height = -45 1/4 + 9 1/3
= - 181/4 + 28/3
= (-543 + 112) / 12
= -431/12
= -35 11/12 feet
Therefore, the height of the bottom of the hole after the second day is -35 11/12 feet
Read more:
https://brainly.com/question/11871698
A recipe requires 2/5 cup of sugar for 1 batch of brownies enter the number of batches of brownies that can be made using 3 1/5 cups of sugar
Answer:
8 batches
Step-by-step explanation:
You would have to divide 3 1/5 by 2/5, which gets you 8 batches of brownies.
find the value of x and y
from geometry
urgently
A machine cuts a strip of carpet into 2 pieces. the length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is (A, 13.5 B, 14 C, 20 D, 28) meters and the total length of the carpet is (A- 25.5, B- 26, C- 32, D- 40) meters
Answer:
The answer to the is 28 and 40! hope this helps love
The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?
Answer: 12 students
Step-by-step explanation:
Let X and Y stand for the number of students in each respective class.
We know:
X/Y = 2/5, and
Y = X+24
We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:
(Y-x)/(X+x) = 1
---
We can rearrange X/Y = 2/5 to:
X = 2Y/5
The use this value of X in the second equation:
Y = X+24
Y =2Y/5+24
5Y = 2Y + 120
3Y = 120
Y = 40
Since Y = X+24
40 = X + 24
X = 16
--
Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:
(Y-x)=(X+x)
(40-x)=(16+x)
24 = 2x
x = 12
12 students must transfer to the more difficult, very early morning, class.
PLS WHAT IS THE REAL ANSWWR ASAP
the answer is t<-48
i hope this helped you if you need the explanation lmk
Read the excerpt from the poem "Hide and Seek":
(21) I examine my hideout, the contours of the leaves,
(22) The blades of grass, a crawling caterpillar.
(23) The minutiae fascinate me, a world within my world.
(24) One touch from me, and the caterpillar lies curled.
(25) Isn't this a metaphor for life?
(26) I'm in a game within another game.
(27) We're all fascinated by ourselves, and our own life.
(28) How often do we acknowledge others' trouble and strife?
How does the point of view influence the description in lines 22-28?
A deeper connection is made and uses the setting to relate to life by the speaker.
A quick description of the hiding place is given at the end of the game by the speaker.
The other children's hiding spots are described by someone, not in the poem.
The setting is being described by someone who was not playing the game.
Answer:
A
Step-by-step explanation:
find the area of the parallelogram with the given information:
Answer:
There is a area of triangle and there is two trapezium so 8×17=136
Simplify (5p+1.49)-(2p+6.49)
Thank you!
